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Finding the Fourth Proportional to 16,289.92, 24,434.40 and 4,602.94

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Solution

The fourth proportional to 16,289.92, 24,434.40 and 4,602.94 is: 6,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.92 : 24,434.40 = 4,602.94 : x
  2. Step 2: Convert to fraction form
    16,289.92/24,434.40 = 4,602.94/x
  3. Step 3: Cross multiply
    16,289.92x = 24,434.40 × 4,602.94
  4. Step 4: Simplify right side
    16,289.92x = 112,470,077.14
  5. Step 5: Solve for x
    x = 112,470,077.14/16,289.92
  6. Step 6: Final answer
    x = 6,904.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.